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 A002668 Continued cotangent for e. (Formerly M1900 N0748) 12
 2, 8, 75, 8949, 119646723, 15849841722437093, 708657580163382065836292133774995, 529026553215766321676623343348414600292754204772300344704877695232 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 REFERENCES D. H. Lehmer, A cotangent analogue of continued fractions, Duke Math. J., 4 (1935), 323-340. N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence). N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS Harry J. Smith, Table of n, a(n) for n = 1..11 D. H. Lehmer, A cotangent analogue of continued fractions, Duke Math. J., 4 (1935), 323-340. [Annotated scanned copy] Eric Weisstein's World of Mathematics, Lehmer Cotangent Expansion MATHEMATICA b[1] = E; b[n_] := b[n] = (b[n-1]*Floor[b[n-1]]+1) / (b[n-1]-Floor[b[n-1]]); a[n_] := Floor[b[n]]; Table[a[n], {n, 1, 8}] (* Jean-François Alcover, Jan 17 2012, after PARI *) PROG (PARI) { default(realprecision, 10000); bn=vector(11); bn[1]=exp(1); for(n=2, 11, bn[n]=(bn[n-1]*floor(bn[n-1]) + 1)/(bn[n-1] - floor(bn[n-1]))); for (n=1, 11, write("b002668.txt", n, " ", floor(bn[n]))); } \\ Harry J. Smith, May 04 2009 CROSSREFS Sequence in context: A295373 A132039 A204552 * A193205 A303943 A295345 Adjacent sequences:  A002665 A002666 A002667 * A002669 A002670 A002671 KEYWORD nonn,easy,nice AUTHOR EXTENSIONS More terms from Jeffrey Shallit STATUS approved

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Last modified October 22 00:52 EDT 2019. Contains 328315 sequences. (Running on oeis4.)